4906195660800 has 2184 divisors, whose sum is σ = 21447955263840. Its totient is φ = 1089286963200.

The previous prime is 4906195660747. The next prime is 4906195660811. The reversal of 4906195660800 is 80665916094.

It is a happy number.

4906195660800 is a `hidden beast` number, since 490 + 6 + 1 + 95 + 6 + 60 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 21424435086 + ... + 21424435314.

Almost surely, 2^{4906195660800} is an apocalyptic number.

4906195660800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4906195660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10723977631920).

4906195660800 is an abundant number, since it is smaller than the sum of its proper divisors (16541759603040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4906195660800 is an equidigital number, since it uses as much as digits as its factorization.

4906195660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 4906195660800 in words is "four trillion, nine hundred six billion, one hundred ninety-five million, six hundred sixty thousand, eight hundred".